Answer:
Supplementary Angle's Theorem
Step-by-step explanation:
The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.
Answer:
The difference in slopes of
is = 3
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = -7
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:


We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:

where
represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.

Slope = 2 and y-intercept =-2

Slope = -1 and y-intercept =5
The difference in slopes of
is = 
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = 
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
4x + 1 = x^2 + 3x - 1
4x = x^2 + 3x - 2
0 = x^2 -x - 2
0 = x^2 -x + 1 - 3
0 = (x - 1)^2 - 3
3 = (x - 1)^2
sqrt 3=(x-1) and (-(x-1))
x = 1+sqrt 3 and 1-sqrt 3
sqrt means square root
The answer is 8/5 which also matches quizlet